Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Section 8.1 Polar Cordinates - 8.1 Assess Your Understanding - Page 591: 5

Answer

pole, polar axis

Work Step by Step

The origin in rectangular coordinates coincides with pole in polar coordinates. This is because at the origin $(0,0)$, we have the radius $r=\sqrt{x^2+y^2}=\sqrt{0^2+0^2}=0$, which places us at the pole. The positive x-axis in rectangular coordinates coincides with polar axis in the polar coordinates. This is because along the x-axis, we have $y=0$ and we get the radius $r=\sqrt{x^2+0^2}=x$, which is the polar axis.
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